CAIE P1 2012 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2012
SessionNovember
TopicChain Rule

4 The line \(y = \frac { x } { k } + k\), where \(k\) is a constant, is a tangent to the curve \(4 y = x ^ { 2 }\) at the point \(P\). Find
  1. the value of \(k\),
  2. the coordinates of \(P\).